Question

Smallest number $N$, such that $\sqrt{N}-\lfloor\sqrt{N}\rfloor$ has a given continued fraction sequence

score 77 · Answer 1 · 2017-01-09 16:32:33

77

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Smallest number $N$, such that $\sqrt{N}-\lfloor\sqrt{N}\rfloor$ has a given continued fraction sequence

Published on 09 Jan 2017 - 16:32

score 73 · Answer 2 · 2026-03-27 05:04:07

73

Views

Does strictly increasing continued-fraction-sequence imply transcendency?

Published on 27 Mar 2026 - 5:04

score 389 · Answer 3 · 2017-01-11 15:45:52

389

Views

Ramanujan's continued fraction for ratio of gamma values

Published on 11 Jan 2017 - 15:45

score 26 · Answer 4 · 2017-01-12 11:16:43

26

Views

Given rational numbers $s$ and $t$, what is the smallest $k$ with $\lceil(k+s)^2\rceil \le \lfloor(k+t)^2 \rfloor$?

Published on 12 Jan 2017 - 11:16

score 73 · Answer 5 · 2017-01-12 15:30:45

73

Views

Verify Lagrange's Formula

Published on 12 Jan 2017 - 15:30

score 80 · Answer 6 · 2026-03-27 05:03:29

80

Views

How fast must a continued-fraction-sequence increase that it is guaranteed to describe a Liouville-number?

Published on 27 Mar 2026 - 5:03

score 44 · Answer 7 · 2017-01-14 12:10:44

44

Views

Can the $4$ consecutive nines be explained with the continued fraction?

Published on 14 Jan 2017 - 12:10

score 566 · Answer 8 · 2017-01-14 14:53:32

566

Views

Found an recursive identity (involving a continued fraction) for which some simplification is needed.

Published on 14 Jan 2017 - 14:53

score 43 · Answer 9 · 2017-01-14 15:39:28

43

Views

Can we add, subtract , multiply and divide numbers only using their continued fraction representation?

Published on 14 Jan 2017 - 15:39

score 936 · Answer 10 · 2017-01-14 17:12:39

936

Views

A complex number $a+bi$ as a continued fraction.

Published on 14 Jan 2017 - 17:12

score 349 · Answer 11 · 2026-03-26 05:55:59

349

Views

Why does the continued fraction of Champerowne's number have so large entries?

Published on 26 Mar 2026 - 5:55

score 327 · Answer 12 · 2017-01-14 21:09:52

327

Views

Is there infinite $1$ in the continued fraction of $\pi$?

Published on 14 Jan 2017 - 21:09

score 609 · Answer 13 · 2017-01-17 15:53:20

609

Views

Continued fraction for some integrals by Ramanujan

Published on 17 Jan 2017 - 15:53

score 118 · Answer 14 · 2017-01-17 17:14:25

118

Views

Isn't this claim about continued fractions false?

Published on 17 Jan 2017 - 17:14

score 1.3k · Answer 15 · 2017-01-17 23:14:46

1.3k

Views

Evaluating continued fractions

Published on 17 Jan 2017 - 23:14

List Question

Smallest number $N$, such that $\sqrt{N}-\lfloor\sqrt{N}\rfloor$ has a given continued fraction sequence

Does strictly increasing continued-fraction-sequence imply transcendency?

Ramanujan's continued fraction for ratio of gamma values

Given rational numbers $s$ and $t$, what is the smallest $k$ with $\lceil(k+s)^2\rceil \le \lfloor(k+t)^2 \rfloor$?

Verify Lagrange's Formula

How fast must a continued-fraction-sequence increase that it is guaranteed to describe a Liouville-number?

Can the $4$ consecutive nines be explained with the continued fraction?

Found an recursive identity (involving a continued fraction) for which some simplification is needed.

Can we add, subtract , multiply and divide numbers only using their continued fraction representation?

A complex number $a+bi$ as a continued fraction.

Why does the continued fraction of Champerowne's number have so large entries?

Is there infinite $1$ in the continued fraction of $\pi$?

Continued fraction for some integrals by Ramanujan

Isn't this claim about continued fractions false?

Evaluating continued fractions

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